Exact controllability for the semilinear string equation in non cylindrical domains
F. Araruna, G. Antunes, L. Medeiros (2004)
Control and Cybernetics
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F. Araruna, G. Antunes, L. Medeiros (2004)
Control and Cybernetics
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E. Zuazua (1993)
Annales de l'I.H.P. Analyse non linéaire
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S. Guerrero, O. Yu. Imanuvilov (2007)
Annales de l'I.H.P. Analyse non linéaire
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Alexander Khapalov (1999)
ESAIM: Control, Optimisation and Calculus of Variations
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Karine Beauchard (2005-2006)
Séminaire Équations aux dérivées partielles
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One considers a quantum particle in a 1D moving infinite square potential well. It is a nonlinear control system in which the state is the wave function of the particle and the control is the acceleration of the potential well. One proves the local controllability around any eigenstate, and the steady state controllability (controllability between eigenstates) of this control system. In particular, the wave function can be moved from one eigenstate to another one, exactly and in finite...
Jerzy Klamka (1996)
Kybernetika
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